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Finding the Fourth Proportional to 752.08, 1,038 and 472.72

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Solution

The fourth proportional to 752.08, 1,038 and 472.72 is: 652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.08 : 1,038 = 472.72 : x
  2. Step 2: Convert to fraction form
    752.08/1,038 = 472.72/x
  3. Step 3: Cross multiply
    752.08x = 1,038 × 472.72
  4. Step 4: Simplify right side
    752.08x = 490,683.36
  5. Step 5: Solve for x
    x = 490,683.36/752.08
  6. Step 6: Final answer
    x = 652.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.